Srikanth Srinivasan

Description:

Title: A Sum Product theorem over finite fields

Abstract: Let A be a finite subset of a field F. Define A+A and AA to
be the set of pairwise sums and products of elements of A,
respectively. We will see a theorem of Bourgain, Katz and Tao that
shows that if neither A+A nor AA is much bigger than A, then A must be
(in some well-defined sense) close to a subfield of F.